ECAT Pre Engineering MCQ Test With Answer for Chapter 2 Mathematics

• n(A) A
• n(B) B
• 0 C
• 1 D

Z is the set of integers, (z, *) is a group with a * b = a + b + 1, a, b∈G. then inverse of a is

• -a A
• a + 1 B
• -2 -a C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following is the subset of all sets?

• 
  A
• 
  B
• 
  C
• 
  D

Φ set is the _______ of all sets

• Subset A
• Union B
• Universal C
• Intersection D

• 
  A
• 
  B
• 
  C
• 
  D

If n(X) = 18, n(X∩Y) = 7, n(X∪ Y) = 40 then n(Y) =

• 1 A
• 12 B
• 5 C
• 29 D

• 
  A
• 
  B
• 
  C
• 
  D

If A∩B=B, then n(A∩B) is equal to

• n(a) A
• n(a)+n(c) B
• n(c) C
• None of these D

(A∩Bc)c= -------------------------

• Ac∪Bc A
• Ac∪B B
• Ac∩B C
• None of these D

The set {1, -1, 1, -1}, form a group under

• Addition A
• Multiplication B
• Subtraction C
• None D

P∉ A means

• Pis subset of A A
• Pis an element of A B
• P does not belongs to A C
• A does not element of P D

Empty set is

• Not subset of every set A
• Finite set B
• Infinite set C
• Not the member of real numbers D

If p and q are two statements then their biconditional 'p if q' is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

The set X is

• Proper Subset of X A
• Not A subset of X B
• Improper Subset of X C
• None of these D

If A and B are two sets then any subset R of A x B is called

• relation on A A
• relation on B B
• relation from A to B C
• relation from B to A D

Every subset of a finite set is

• Disjoint A
• Null B
• Finite C
• Infinite D

If B⊆ A, then complement of B in A is = -----------------------

• A-B A
• A∩B B
• B-A C
• A∪B D

The number of different ways of describing a set is

• One A
• Two B
• Three C
• Four D

The set (Z, +) forms a group

• Forms a group w.r.t addition A
• Forms a group w.r.t multiplication B
• Non commutative group w.r.t multiplication C
• Doesn't form a group D

• a constant function A
• linear function B
• quadratic funtion C
• none of these D

The geometrical representation of a linear function is

• Circle A
• Parabola B
• Straight lie C
• None of these D

• A finite set A
• An infinite set B
• An empty set C
• None of these D

The number of proper subset of A ={a.b.c.d} is

• 3 A
• 6 B
• 8 C
• 15 D

• 
  A
• 
  B
• 
  C
• 
  D

Which conjunction is not true ?

• 
  A
• 
  B
• 
  C
• 
  D

A function in which the second elements of the order pairs are distinct is called

• Onto function A
• One-one function B
• Identity function C
• Inverse function D

• 
  A
• 
  B
• 
  C
• 
  D

Z is a

• Infinite set A
• Finite set B
• Singleton set C
• Set of all integers D